Question: An empty 10 foot spring hangs from a hook. When a 16-pound weight is attached, the new equilibrium position Is 5-1/3 feet lower than before.

An empty 10 foot spring hangs from a hook. When a 16-pound weight is attached, the new equilibrium position Is 5-1/3 feet lower than before. A shock absorber is present, imparting a damping force equal to 52 times the velocity of the spring. The mass is set in motion with an upward velocity of 5ftsec. Find a formula for the displacement of the spring, and its position after 10 seconds.

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